xref: /libCEED/tests/t320-basis.h (revision e1ef875599c3a6b02a7bf1f21ab905966273ff45)
1 // Copyright (c) 2017-2018, Lawrence Livermore National Security, LLC.
2 // Produced at the Lawrence Livermore National Laboratory. LLNL-CODE-734707.
3 // All Rights reserved. See files LICENSE and NOTICE for details.
4 //
5 // This file is part of CEED, a collection of benchmarks, miniapps, software
6 // libraries and APIs for efficient high-order finite element and spectral
7 // element discretizations for exascale applications. For more information and
8 // source code availability see http://github.com/ceed.
9 //
10 // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC,
11 // a collaborative effort of two U.S. Department of Energy organizations (Office
12 // of Science and the National Nuclear Security Administration) responsible for
13 // the planning and preparation of a capable exascale ecosystem, including
14 // software, applications, hardware, advanced system engineering and early
15 // testbed platforms, in support of the nation's exascale computing imperative.
16 
17 static void buildmats(CeedScalar *qref, CeedScalar *qweight, CeedScalar *interp,
18                       CeedScalar *grad) {
19   CeedInt P = 6, Q = 4;
20 
21   qref[0] = 0.2;
22   qref[1] = 0.6;
23   qref[2] = 1./3.;
24   qref[3] = 0.2;
25   qref[4] = 0.2;
26   qref[5] = 0.2;
27   qref[6] = 1./3.;
28   qref[7] = 0.6;
29   qweight[0] = 25./96.;
30   qweight[1] = 25./96.;
31   qweight[2] = -27./96.;
32   qweight[3] = 25./96.;
33 
34   // Loop over quadrature points
35   for (int i=0; i<Q; i++) {
36     CeedScalar x1 = qref[0*Q+i], x2 = qref[1*Q+i];
37     // Interp
38     interp[i*P+0] =  2.*(x1+x2-1.)*(x1+x2-1./2.);
39     interp[i*P+1] = -4.*x1*(x1+x2-1.);
40     interp[i*P+2] =  2.*x1*(x1-1./2.);
41     interp[i*P+3] = -4.*x2*(x1+x2-1.);
42     interp[i*P+4] =  4.*x1*x2;
43     interp[i*P+5] =  2.*x2*(x2-1./2.);
44     // Grad
45     grad[(i+0)*P+0] =  2.*(1.*(x1+x2-1./2.)+(x1+x2-1.)*1.);
46     grad[(i+Q)*P+0] =  2.*(1.*(x1+x2-1./2.)+(x1+x2-1.)*1.);
47     grad[(i+0)*P+1] = -4.*(1.*(x1+x2-1.)+x1*1.);
48     grad[(i+Q)*P+1] = -4.*(x1*1.);
49     grad[(i+0)*P+2] =  2.*(1.*(x1-1./2.)+x1*1.);
50     grad[(i+Q)*P+2] =  2.*0.;
51     grad[(i+0)*P+3] = -4.*(x2*1.);
52     grad[(i+Q)*P+3] = -4.*(1.*(x1+x2-1.)+x2*1.);
53     grad[(i+0)*P+4] =  4.*(1.*x2);
54     grad[(i+Q)*P+4] =  4.*(x1*1.);
55     grad[(i+0)*P+5] =  2.*0.;
56     grad[(i+Q)*P+5] =  2.*(1.*(x2-1./2.)+x2*1.);
57   }
58 }
59